Du Val curves and the pointed Brill-Noether Theorem

作者：Farkas Gavril; Tarasca Nicola^*

来源：Selecta Mathematica, New Series, 2017, 23(3): 2243-2259.

DOI：10.1007/s00029-017-0329-3

• Brill-Noether general smooth pointed curves
• Du Val curves
• Rational and ruled surfaces

We show that a general curve in an explicit class of what we call Du Val pointed curves satisfies the Brill-Noether Theorem for pointed curves. Furthermore, we prove that a generic pencil of Du Val pointed curves is disjoint from all Brill-Noether divisors on the universal curve. This provides explicit examples of smooth pointed curves of arbitrary genus defined over Q which are Brill-Noether general. A similar result is proved for 2-pointed curves as well using explicit curves on elliptic ruled surfaces.

• 出版日期2017-7